UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                                    FORM 8-K

                                 CURRENT REPORT
                       PURSUANT TO SECTION 13 OR 15(D) OF
                       THE SECURITIES EXCHANGE ACT OF 1934

Date of Report (Date of earliest event reported): November 1, 2004

                                 Nestor Partners
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             (Exact name of registrant as specified in its charter)

          New Jersey                000-50725             22-2149317
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(State or other jurisdiction       (Commission           (IRS Employer
       of incorporation)           File Number)        Identification No.)

  c/o Millburn Ridgefield Corporation
 411 West Putnam Avenue, Greenwich, CT                06830
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(Address of principal executive offices)            (Zip Code)

Registrant's telephone number, including area code: 203-625-7554


Check the appropriate box below if the Form 8-K filing is intended to
simultaneously satisfy the filing obligation of the registrant under any of the
following provisions (see General Instruction A.2. below):

[ ]  Written communications pursuant to Rule 425 under the Securities Act
     (17 CFR 230.425)

[ ]  Soliciting material pursuant to Rule 14a-12 under the Exchange Act
     (17 CFR 240.14a-12)

[ ]  Pre-commencement communications pursuant to Rule 14d-2(b) under the
     Exchange Act (17 CFR 240.14d-2(b))

[ ]  Pre-commencement communications pursuant to Rule 13e-4(c) under the
     Exchange Act (17 CFR 240.13e-4(c))


Item 3.02 Unregistered Sales of Equity Securities.

On October 1, 2004 and November 1, 2004, Registrant sold equity securities in
Registrant ("Interests" or "Limited Partnership Interests") to existing and new
limited partners of Registrant in transactions that were not registered under
the Securities Act of 1933, as amended (the "Securities Act"). The aggregate
consideration for Interests sold on October 1, 2004 and November 1, 2004 was
$860,602 and $2,041,033, respectively, in cash. The Limited Partnership
Interests were issued by Registrant in reliance upon an exemption from
registration under the Securities Act set forth in Section 4(2) of the
Securities Act, as transactions not constituting a public offering of securities
because the Interests were issued privately without general solicitation or
advertising. In connection with the sales of the Interests described above,
there were no underwriting discounts or commissions.


                                   SIGNATURES

Pursuant to the requirements of the Securities Exchange Act of 1934, the
registrant has duly caused this report to be signed on its behalf by the
undersigned hereunto duly authorized.

                                        Millburn Ridgefield Corporation,
                                        General Partner of Nestor Partners


                                        ----------------------------------
                                        (Registrant)

Date: November 2, 2004

                                        By: /s/ Gregg Buckbinder
                                        ----------------------------------
                                        Gregg Buckbinder
                                        Senior Vice President &
                                        Chief Operating Officer